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Finding the Fourth Proportional to 273,712.68, 377,709.06 and 154,473

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Solution

The fourth proportional to 273,712.68, 377,709.06 and 154,473 is: 213,164.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,712.68 : 377,709.06 = 154,473 : x
  2. Step 2: Convert to fraction form
    273,712.68/377,709.06 = 154,473/x
  3. Step 3: Cross multiply
    273,712.68x = 377,709.06 × 154,473
  4. Step 4: Simplify right side
    273,712.68x = 58,345,851,625.38
  5. Step 5: Solve for x
    x = 58,345,851,625.38/273,712.68
  6. Step 6: Final answer
    x = 213,164.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.